Posted by SammyPlease,please help!!!! on Tuesday, December 18, 2012 at 11:55am.
Iamhaving a really hard time trying to understand this question. Can someone please show me how to work this question.
Give the following polynomial, find
a. the zeros and the multiplicity of each
b. where the graph crosses or touches the xaxis
c. number of turning points
d. the end behavior
f(x)=(x1)(x5)
please show work.

calculus  bobpursley, Tuesday, December 18, 2012 at 12:25pm
u=x1 dx=du
v=x5 dx=dv
f=uv
f'=uv'+vu'=(x1)+(x5)=2x6
zeroes: f(x)=0 at x=1,and x=5
f"=2 means it is always increasing, no inflection point.
end behaviour: at x=+ inf, f(x)=+ undef

calculus  Steve, Tuesday, December 18, 2012 at 1:48pm
one small item:
f" > 0 means its always concave up, not increasing. Its slope is always increasing.
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